#### Answer

$16.166641^{\circ}$

#### Work Step by Step

Step 1: $\sin\theta=0.27843196$
Step 2: $\theta=\sin^{-1} (0.27843196)$
Step 3: Using degree mode, we type $\sin^{-1} 0.27843196$ into the calculator and solve:
$\sin^{-1} 0.27843196\approx16.166641^{\circ}$